Schur-convex functions of the 2nd order on $\mathbb {R}^n$

St Petersburg Mathematical Journal ◽

10.1090/spmj/1627 ◽

2020 ◽

Vol 31 (5) ◽

pp. 887-902

Author(s):

M. Revyakov

Keyword(s):

Convex Functions ◽

Schur Convex

A Problem Concerning Schur-Convex Functions

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique - General Inequalities 3 ◽

10.1007/978-3-0348-6290-5_58 ◽

1983 ◽

pp. 533-533

Author(s):

Wolfgang Walter

Keyword(s):

Convex Functions ◽

Schur Convex

Characterization of Inner Product Spaces by Strongly Schur-Convex Functions

Results in Mathematics ◽

10.1007/s00025-020-01197-1 ◽

2020 ◽

Vol 75 (2) ◽

Author(s):

Mirosław Adamek

Keyword(s):

Convex Functions ◽

Inner Product ◽

Product Spaces ◽

Inner Product Spaces ◽

Schur Convex

Schur-Convex Functions

Mathematics in Science and Engineering - Inequalities - Theory of Majorization and Its Applications ◽

10.1016/b978-0-12-473750-1.50010-2 ◽

1979 ◽

pp. 53-106

Keyword(s):

Convex Functions ◽

Schur Convex

2. Definitions and properties of Schur-convex functions

Schur-Convex Functions and Inequalities ◽

10.1515/9783110607840-002 ◽

2019 ◽

pp. 51-134

Keyword(s):

Convex Functions ◽

Schur Convex

Schur-Convex Functions and Inequalities

10.1515/9783110607864 ◽

2019 ◽

Author(s):

Huan-nan Shi ◽

Keyword(s):

Convex Functions ◽

Schur Convex

Schur-Convex Functions and Inequalities

10.1515/9783110607840 ◽

2019 ◽

Cited By ~ 1

Author(s):

Huan-nan Shi ◽

Keyword(s):

Convex Functions ◽

Schur Convex

3. Schur-convex functions and mean value inequalities for two variables

Schur-Convex Functions and Inequalities ◽

10.1515/9783110607864-003 ◽

2019 ◽

pp. 97-168

Keyword(s):

Convex Functions ◽

Mean Value ◽

Schur Convex ◽

Mean Value Inequalities

4. Schur-convex functions and other symmetric function inequalities

Schur-Convex Functions and Inequalities ◽

10.1515/9783110607840-004 ◽

2019 ◽

pp. 179-204

Keyword(s):

Convex Functions ◽

Symmetric Function ◽

Schur Convex

5. Schur-convex functions and geometric inequalities

Schur-Convex Functions and Inequalities ◽

10.1515/9783110607864-005 ◽

2019 ◽

pp. 197-220

Keyword(s):

Convex Functions ◽

Geometric Inequalities ◽

Schur Convex

Component allocation for a distributed system: reliability maximization

Journal of Applied Probability ◽

10.2307/3214857 ◽

1993 ◽

Vol 30 (2) ◽

pp. 471-477 ◽

Cited By ~ 3

Author(s):

Mikhail Revyakov

Keyword(s):

Distributed System ◽

Convex Functions ◽

System Reliability ◽

Optimal Allocation ◽

System Structure ◽

External Influences ◽

Component Allocation ◽

Schur Convex ◽

Superadditive Functions

An optimal allocation of subsystems depending on the system structure and reliability ordering of inherent subsystem components is determined, in the presence of various external influences on the reliability of components in different locations. It is carried out with the help of L-superadditive functions and Schur-convex functions.